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Finding the Fourth Proportional to 562,564.20, 776,255.11 and 341,686.62

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Solution

The fourth proportional to 562,564.20, 776,255.11 and 341,686.62 is: 471,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,564.20 : 776,255.11 = 341,686.62 : x
  2. Step 2: Convert to fraction form
    562,564.20/776,255.11 = 341,686.62/x
  3. Step 3: Cross multiply
    562,564.20x = 776,255.11 × 341,686.62
  4. Step 4: Simplify right side
    562,564.20x = 265,235,987,704.59
  5. Step 5: Solve for x
    x = 265,235,987,704.59/562,564.20
  6. Step 6: Final answer
    x = 471,476.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.